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Finding the Fourth Proportional to 272,036.10, 408,054.15 and 269,411.70

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Solution

The fourth proportional to 272,036.10, 408,054.15 and 269,411.70 is: 404,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,036.10 : 408,054.15 = 269,411.70 : x
  2. Step 2: Convert to fraction form
    272,036.10/408,054.15 = 269,411.70/x
  3. Step 3: Cross multiply
    272,036.10x = 408,054.15 × 269,411.70
  4. Step 4: Simplify right side
    272,036.10x = 109,934,562,243.56
  5. Step 5: Solve for x
    x = 109,934,562,243.56/272,036.10
  6. Step 6: Final answer
    x = 404,117.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.